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20072025
most citedPaved with Good Intentions: Analysis of a Randomized Block Kaczmarz Method

323 citations

Showing 2014 · math.NAShow all

6 papers · 2 filters

math.NA2014★ 6 cited

Practical approximate projection schemes in greedy signal space methods

Chris Garnatz, Xiaoyi Gu, Alison Kingman +3

Compressive sensing (CS) is a new signal acquisition paradigm which shows that far fewer samples are required to reconstruct sparse signals than previously thought. Although most o…

math.NA2014★ 18 cited

Linear Convergence of Stochastic Iterative Greedy Algorithms with Sparse Constraints

Nam Nguyen, Deanna Needell, Tina Woolf

Motivated by recent work on stochastic gradient descent methods, we develop two stochastic variants of greedy algorithms for possibly non-convex optimization problems with sparsity…

math.NA2014

Block Kaczmarz Method with Inequalities

Jonathan Briskman, Deanna Needell

The randomized Kaczmarz method is an iterative algorithm that solves overdetermined systems of linear equations. Recently, the method was extended to systems of equalities and ineq…

math.NA2014

A Comparison of Clustering and Missing Data Methods for Health Sciences

Ran Zhao, Deanna Needell, Christopher Johansen +1

In this paper, we compare and analyze clustering methods with missing data in health behavior research. In particular, we propose and analyze the use of compressive sensing's matri…

math.NA2014★ 1 cited

Randomized Block Kaczmarz Method with Projection for Solving Least Squares

Deanna Needell, Ran Zhao, Anastasios Zouzias

The Kaczmarz method is an iterative method for solving overcomplete linear systems of equations Ax=b. The randomized version of the Kaczmarz method put forth by Strohmer and Vershy…

math.NA2014★ 1 cited

Near Oracle Performance and Block Analysis of Signal Space Greedy Methods

Raja Giryes, Deanna Needell

Compressive sampling (CoSa) is a new methodology which demonstrates that sparse signals can be recovered from a small number of linear measurements. Greedy algorithms like CoSaMP h…